Search a number
BaseRepresentation
bin11010000011010000
312102101000
4122003100
511403304
62142000
7623043
oct320320
9172330
10106704
1173194
1251900
1339750
142ac5a
1521939
hex1a0d0

106704 has 80 divisors (see below), whose sum is σ = 347200. Its totient is φ = 31104.

The previous prime is 106703. The next prime is 106721. The reversal of 106704 is 407601.

It is a super-2 number, since 2×1067042 = 22771487232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607 + ... + 5625.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2106704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173600).

106704 is an abundant number, since it is smaller than the sum of its proper divisors (240496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106704 is a wasteful number, since it uses less digits than its factorization.

106704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106704 is about 326.6557821316. The cubic root of 106704 is about 47.4307763596.

The spelling of 106704 in words is "one hundred six thousand, seven hundred four".